What is the tenth term of the pattern below?

What is the tenth term of the pattern below?

2/3, 4/9, 8/27, 16/81 …
A . 20/30
B . 210/3
C . 2/310
D . (2/3)2/3
E . (2/3)10

Answer: E

Explanation:

Each term in the pattern is equal to the fraction 2/3 raised to an exponent that is equal to the position of the term in the sequence. The first term in the sequence is equal to (2/3) 1 , the second term is equal to (2/3) 2 , and so on. Therefore, the tenth term in the sequence will be equal to (2/3) 10 .